Find the first two terms, in ascending powers of uuu, of the binomial expansion of
(1+2u)13 (1 + 2u)^{\frac{1}{3}} (1+2u)31Hence, for small values of xxx, show that
cos3x+1−x23≈A+Bx+Cx2 \cos 3x + \sqrt[3]{1 - x^2} \approx A + Bx + Cx^2 cos3x+31−x2≈A+Bx+Cx2where AAA, BBB and CCC are constants to be found.
Practise Edexcel A Level Maths Binomial Expansion with exam-style questions for A Level Maths. 115 questions covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
